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Finding the Fourth Proportional to 356,822.80, 534,780.60 and 146,222.80

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Solution

The fourth proportional to 356,822.80, 534,780.60 and 146,222.80 is: 219,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,822.80 : 534,780.60 = 146,222.80 : x
  2. Step 2: Convert to fraction form
    356,822.80/534,780.60 = 146,222.80/x
  3. Step 3: Cross multiply
    356,822.80x = 534,780.60 × 146,222.80
  4. Step 4: Simplify right side
    356,822.80x = 78,197,116,717.68
  5. Step 5: Solve for x
    x = 78,197,116,717.68/356,822.80
  6. Step 6: Final answer
    x = 219,148.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.